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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


IMPACT FACTOR 2018: 0.881
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CiteScore 2018: 0.91

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Mathematical Citation Quotient (MCQ) 2018: 0.66

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1569-3945
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Volume 24, Issue 3

Issues

Uniqueness and non-uniqueness in acoustic tomography of moving fluid

Alexey D. Agaltsov
  • Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau, France; and Lomonosov Moscow State University, 119991 Moscow, Russia
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/ Roman G. Novikov
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  • Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau, France; IEPT RAS, 117997 Moscow, Russia; and Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia
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Published Online: 2015-07-24 | DOI: https://doi.org/10.1515/jiip-2015-0051

Abstract

We consider a model time-harmonic wave equation of acoustic tomography of moving fluid in an open bounded domain in ℝd, d ≥ 2, with variable sound speed c, density ρ, fluid velocity v and absorption coefficient α. We give global uniqueness results for related inverse boundary value problem for the cases of boundary measurements given for two and for three fixed frequencies. Besides, we also give a non-uniqueness result for this inverse problem for the case of boundary measurements given for all frequencies.

Keywords: Moving fluid; magnetic Schrödinger equation; acoustic tomography; inverse boundary value problems; identifiability and non-identifiability

MSC: 35R30; 35Q35

About the article

Received: 2015-05-20

Accepted: 2015-07-10

Published Online: 2015-07-24

Published in Print: 2016-06-01


Citation Information: Journal of Inverse and Ill-posed Problems, Volume 24, Issue 3, Pages 333–340, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip-2015-0051.

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